In Exercises 159–192, completely factor the expression.
159.
160.
161.
162.
163.
164.
165.
166.
167.
168.
169.
170.
171.
172.
173.
174.
175.
176.
177.
178.
179.
180.
181.
182.
183.
184.
185.
186.
187.
188.
189.
190.
191.
192.
In Exercises 193–196, find all values of b for which the
trinomial can be factored.
193.
194.
195.
196.
In Exercises 197–200, find two integer values of c such that
the trinomial can be factored. (There are many correct
answers.)
197. 198.
199. 200.
201. Cost, Revenue, and Profit An electronics manufacturer
can produce and sell radios per week. The total cost
(in dollars) of producing radios is
and the total revenue (in dollars) is
(a) Find the profit in terms of
(b) Find the profit obtained by selling 5000 radios per
week.
202. Cost, Revenue, and Profit An artisan can produce and
sell hats per month. The total cost (in dollars) of
producing hats is
and the total revenue (in dollars) is
(a) Find the profit in terms of
(b) Find the profit obtained by selling 42 hats per month.
203. Compound Interest After 2 years, an investment of
$500 compounded annually at an interest rate will yield
an amount of
(a) Write this polynomial in standard form.
(b) Use a calculator to evaluate the polynomial for the
values of shown in the table.
(c) What conclusion can you make from the table?
204. Compound Interest After 3 years, an investment of
$1200 compounded annually at an interest rate will
yield an amount of
(a) Write this polynomial in standard form.
(b) Use a calculator to evaluate the polynomial for the
values of shown in the table.
(c) What conclusion can you make from the table?
r
12001 -
r3
.
r
r
5001 -
r2
.
r
P x.
R 36x.
R
C 460 -
12x
x
x C
P x.
R 95x.
R
C 73x -
25,000
x
x C
2x 3x 2 -
9x -
c 2 x -
c
3x 2x 2 10x -
c 2 -
5x -
c
x2 -
bx -
24
x 2 -
bx 12
x2 -
bx -
50
x 2 -
bx 15
x2
2 x2 -
14 x 2 -
15
5x6 -
146x53x -
23 -
33x-
223x6 -
15
2xx 54 x 2
4x 5 3
3x 22x -
14 -
x 2 34x -
1 3
7x2x 2 -
12x x2 -
1 27
73x -
2 21 x 2 -
3x -
21 x3
2x -
1x 3 2 3x -
1 2x 3
53 4x 2 83 4x5x 1
4x2x 1 -
2x 1 2
5x 3 -
40
2t 3 16
x 2 -
8 2 36x 2
x 2 -
1 2 4x 2
t 1 2 49
1
5 x3 -
x2 x 5
1
4 x3 -
3x2 -
3
4 x -
9
3u 2u2 -
6 u3
x 4 4x 3 -
x 2 4x
5 x -
5x 2 x 3
3x 3 -
x 2 -
15x -
5
1
8x2 1
96x 1
16
1
81x2 -
2
9 x 8
13x -
6 -
5x 2
9x 2 -
10x -
1
2y 3 7y 2 15y
2x 2 -
4x 2x 3
9x 2 -
6x 1
1 4x -
4x 2
16 -
6x x 2
x 2 2x -
1
x 3 9x
x 3 4x 2
12x 2 48
6x 2 54
r % 3% 4% % 5%
5001 -
r2
41 2 2
1
2
r 2% 3% % 4% %
12001 -
r3
4
1 3 2
1
2
333202_0A03.qxd 12/6/05 2:14 PM Page A33
In Exercises 159–192, completely factor the expression.159.160.161.162.163.164.165.166.167.168.169.170.171.172.173.174.175.176.177.178.179.180.181.182.183.184.185.186.187.188.189.190.191.192.In Exercises 193–196, find all values of b for which thetrinomial can be factored.193.194.195.196.In Exercises 197–200, find two integer values of c such thatthe trinomial can be factored. (There are many correctanswers.)197. 198.199. 200.201. Cost, Revenue, and Profit An electronics manufacturercan produce and sell radios per week. The total cost (in dollars) of producing radios is and the total revenue (in dollars) is (a) Find the profit in terms of (b) Find the profit obtained by selling 5000 radios perweek.202. Cost, Revenue, and Profit An artisan can produce andsell hats per month. The total cost (in dollars) ofproducing hats is and the total revenue (in dollars) is(a) Find the profit in terms of (b) Find the profit obtained by selling 42 hats per month.203. Compound Interest After 2 years, an investment of$500 compounded annually at an interest rate will yieldan amount of(a) Write this polynomial in standard form.(b) Use a calculator to evaluate the polynomial for thevalues of shown in the table.(c) What conclusion can you make from the table?204. Compound Interest After 3 years, an investment of$1200 compounded annually at an interest rate willyield an amount of (a) Write this polynomial in standard form.(b) Use a calculator to evaluate the polynomial for thevalues of shown in the table.(c) What conclusion can you make from the table?r12001 - r3.rr5001 - r2.rP x.R 36x.RC 460 - 12xxx CP x.R 95x.RC 73x - 25,000xx C2x 3x 2 - 9x - c 2 x - c3x 2x 2 10x - c 2 - 5x - cx2 - bx - 24x 2 - bx 12x2 - bx - 50x 2 - bx 15x22 x2 - 14 x 2 - 155x6 - 146x53x - 23 - 33x- 223x6 - 152xx 54 x 24x 5 33x 22x - 14 - x 2 34x - 1 37x2x 2 - 12x x2 - 1 2773x - 2 21 x 2 - 3x - 21 x32x - 1x 3 2 3x - 1 2x 353 4x 2 83 4x5x 14x2x 1 - 2x 1 25x 3 - 402t 3 16x 2 - 8 2 36x 2x 2 - 1 2 4x 2t 1 2 4915 x3 - x2 x 514 x3 - 3x2 - 34 x - 93u 2u2 - 6 u3x 4 4x 3 - x 2 4x5 x - 5x 2 x 33x 3 - x 2 - 15x - 518x2 196x 116181x2 - 29 x 813x - 6 - 5x 29x 2 - 10x - 12y 3 7y 2 15y2x 2 - 4x 2x 39x 2 - 6x 11 4x - 4x 216 - 6x x 2x 2 2x - 1x 3 9xx 3 4x 212x 2 486x 2 54r % 3% 4% % 5%5001 - r241 2 212r 2% 3% % 4% %12001 - r341 3 212333202_0A03.qxd 12/6/05 2:14 PM Page A33
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